Part b: Continue to assume that the height of your cylinder is 66 inches. Write the radius rr as a function of AA. This is the inverse function to A(r)Ar, i.e., to turn AA as a function of rr into rr as a function of AA. r(A)=rA= To calculate an inverse function, you need to solve for rr. Here, you would start with A=2πr2+12πrA=2πr2+12πr. This equation is the same as 2πr2+12πr−A=02πr2+12πr−A=0 which is a quadratic equation in the variable rr, and you can solve that using the quadratic formula. You will want to keep AA as a variable when you plug the values into the quadratic formula.

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Answered: Continue to assume that the height of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Part b: Continue to assume that the height of your cylinder is 66 inches. Write the radius rr as a function of AA. This is the inverse function to A(r)Ar, i.e., to turn AA as a function of rr into rr as a function of AA.

r(A)=rA=

To calculate an inverse function, you need to solve for rr. Here, you would start with A=2πr2+12πrA=2πr2+12πr. This equation is the same as 2πr2+12πr−A=02πr2+12πr−A=0 which is a quadratic equation in the variable rr, and you can solve that using the quadratic formula. You will want to keep AA as a variable when you plug the values into the quadratic formula.

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